Question

Which type of function is the result of multiplying a quadratic function and a linear function?

Answer 1

Answer:

A cubic function

Step-by-step explanation:

When you multiply powers of a same base, the exponents sum. So, if we multiply a function like $ax^2+bx+c$ with a function like $dx+e$ we get

$(ax^2+bx+c)(dx+e) = adx^3+bdx^2+cdx+aex^2+bex+ce = adx^3+(bd+ae)x^2+(cd+be)x+ce$

which is a cubic function, because it is written in the form

$\alpha x^3+\beta x^3 + \gamma x + \delta$